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Finding the Third Proportional to 813,649,836 and 1,766,005,638

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Solution

The third proportional to 813,649,836 and 1,766,005,638 is: 3,833,068,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,649,836 : 1,766,005,638 = 1,766,005,638 : x
  2. Step 2: Convert to fraction form
    813,649,836/1,766,005,638 = 1,766,005,638/x
  3. Step 3: Cross multiply
    813,649,836x = 1,766,005,638 × 1,766,005,638
  4. Step 4: Simplify right side
    813,649,836x = 3,118,775,913,447,787,008
  5. Step 5: Solve for x
    x = 3,118,775,913,447,787,008/813,649,836
  6. Step 6: Final answer
    x = 3,833,068,938.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.